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3 years ago

15

Jennifer can paddle a certain distance with the current in 2.5 hr. To cover the same distance against the current, she takes 5 h

r. How many times faster is her rate of paddling in still water than the speed of the current?

1 answer:

snow_lady [41]3 years ago

3 0

The answer would be 2 times faster

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Britney building dollhouse that was a scale model of her own house the dog House was 10 inches long while her actual house had a

defon

9514 1404 393

Answer:

32 feet

Step-by-step explanation:

The width of the doll house is 8/10 of the length of the doll house, so the actual house will have a width that is 8/10 of its length:

(8/10)(40 ft) = 32 ft

The actual house is 32 feet wide.

4 0

3 years ago

According to government data, 20% of employed women have never been married. If 10 employed women are selected at random, what i

Ierofanga [76]

Answer:

a) $P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

b) $P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

c) For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

And replacing we got:

$P(X\geq 8)=0.0000779$

Step-by-step explanation:

Previous concepts

The binomial distribution is a "DISCRETE probability distribution that summarizes the probability that a value will take one of two independent values under a given set of parameters. The assumptions for the binomial distribution are that there is only one outcome for each trial, each trial has the same probability of success, and each trial is mutually exclusive, or independent of each other".

Let X the random variable of interest, on this case we now that:

$X \sim Bin (n=10 ,p=0.2)$

The probability mass function for the Binomial distribution is given as:

$P(X)=(nCx)(p)^x (1-p)^{n-x}$

Where (nCx) means combinatory and it's given by this formula:

$nCx=\frac{n!}{(n-x)! x!}$

Solution to the problem

Let X the random variable "number of women that have never been married" , on this case we now that the distribution of the random variable is:

$X \sim Binom(n=10, p=0.2)$

Part a

We want to find this probability:

$P(X=2)$

And using the probability mass function we got:

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

Part b

For this case we want this probability:

$P(X\leq 2) = P(X=0) + P(X=1) +P(X=2)$

We can find the individual probabilities and we got:

$P(X=0) = (10C0) (0.2)^0 (1-0.2)^{10-0}= 0.107$

$P(X=1) = (10C1) (0.2)^1 (1-0.2)^{10-1}= 0.268$

$P(X=2) = (10C2) (0.2)^2 (1-0.2)^{10-2}= 0.302$

And replacing we got:

$P(X\leq 2) = 0.107+0.268+0.302=0.678$

Part c

For this case we want this probability:

$P(X\geq 8) = P(X=8) + P(X=9) +P(X=10)$

But for this case the probability of success is p =1-0.2= 0.8

We can find the individual probabilities and we got:

$P(X=8) = (10C8) (0.8)^8 (1-0.8)^{10-8} =0.302$

$P(X=9) = (10C9) (0.8)^9 (1-0.8)^{10-9} =0.268$

$P(X=10) = (10C10) (0.8)^{10} (1-0.8)^{10-10} =0.107$

And replacing we got:

$P(X \geq 8) = 0.677$

3 0

3 years ago

The distance on the map between Yappy city and Quiet city is 23 cm.

jekas [21]

The actual distance between Yappy city and Quiet city when it is 23 cm in map is 9.2 miles.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

The distance on the map between Yappy city and Quiet city is 23 cm

and,

5cm = 2 miles

now, for 1 cm on map it is equal to 2/5 miles of actual distance.

Therefore to find the actual distance of 23 cm in map we simply multiply 23 with 2/5 :

actual distance :

2/5 x 23 = 9.2 miles

Therefore, the actual distance between Yappy city and Quiet city is 9.2 miles.

Read more about ratio at:

brainly.com/question/17869111

#SPJ1

5 0

1 year ago

Two congruent squares and a parallelogram were used to form the figure shown. 3 meters, 6 meters, 2.8 meters, 3 meters What is t

elixir [45]

The area of a figure is the amount of space the figure occupies

The surface area of the figure is 34.8 square meters

<h3>How to determine the area of the shape</h3>

From the question, we have:

The dimensions of the congruent squares are 3 m by 3 m
The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 * Area of square + Area of parallelogram

This gives

$Area = 2 * (3m * 3m) + 2.8m * 6m$

Evaluate the products

$Area = 18m^2 + 16.8m^2$

Evaluate the sum

$Area = 34.8m^2$

Hence, the surface area of the figure is 34.8 square meters

Read more about surface areas at:

brainly.com/question/24571594

3 0

1 year ago

Let R = {0, 1, 2, 3} be the range of h (x ) = x - 7. The domain of h inverse is

KonstantinChe [14]

Hello,

As h(x) is a bijection,
range(h(x))=dom(h^(-1)(x))={0,1,2,3}

Answer C

8 0

3 years ago

Read 2 more answers